No superconductivity in Pb$_9$Cu$_1$(PO$_4$)$_6$O found in orbital and spin fluctuation exchange calculations

التفاصيل البيبلوغرافية
العنوان: No superconductivity in Pb$_9$Cu$_1$(PO$_4$)$_6$O found in orbital and spin fluctuation exchange calculations
المؤلفون: Witt, Niklas, Si, Liang, Tomczak, Jan M., Held, Karsten, Wehling, Tim O.
المصدر: SciPost Phys. 15, 197 (2023)
سنة النشر: 2023
المجموعة: Condensed Matter
مصطلحات موضوعية: Condensed Matter - Superconductivity, Condensed Matter - Materials Science, Condensed Matter - Strongly Correlated Electrons
الوصف: Finding a material that turns superconducting under ambient conditions has been the goal of over a century of research, and recently Pb$_{10-x}$Cu$_x$(PO$_4$)$_6$O aka LK-99 has been put forward as a possible contestant. In this work, we study the possibility of electronically driven superconductivity in LK-99 also allowing for electron or hole doping. We use an $\textit{ab initio}$ derived two-band model of the Cu $e_g$ orbitals for which we determine interaction values from the constrained random phase approximation (cRPA). For this two-band model we perform calculations in the fluctuation exchange (FLEX) approach to assess the strength of orbital and spin fluctuations. We scan over a broad range of parameters and enforce no magnetic or orbital symmetry breaking. Even under optimized conditions for superconductivity, spin and orbital fluctuations turn out to be too weak for superconductivity anywhere near to room-temperature. We contrast this finding to non-self-consistent RPA, where it is possible to induce spin-singlet $d$-wave superconductivity at $T_{\mathrm{c}}\geq300$ K if the system is put close enough to a magnetic instability.
Comment: 14 pages, 3 figures; revised submission to SciPost Physics
نوع الوثيقة: Working Paper
DOI: 10.21468/SciPostPhys.15.5.197
URL الوصول: http://arxiv.org/abs/2308.07261
رقم الأكسشن: edsarx.2308.07261
قاعدة البيانات: arXiv
الوصف
DOI:10.21468/SciPostPhys.15.5.197